Identify solutions to inequalities

A number is a solution to an inequality if plugging it in results in a true statement.

Is d = 9 a solution to the inequality below?

d > 1

yes
no

Solution:

Plug d = 9 into the inequality.

d

>

1

9

>

1

Plug in d = 9

It is true that 9 > 1. So, d = 9 is a solution.

Is v = 12 a solution to the inequality below?

v ≤ 9

yes
no

Solution:

Plug v = 12 into the inequality.

v

≤

9

12

≤

9

Plug in v = 12

It is false that 12 ≤ 9. So, v = 12 is not a solution.

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Which of the following are solutions to the inequality y > 5?